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Finding the Fourth Proportional to 16,144.88, 24,211.17 and 6,282.86

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Solution

The fourth proportional to 16,144.88, 24,211.17 and 6,282.86 is: 9,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.88 : 24,211.17 = 6,282.86 : x
  2. Step 2: Convert to fraction form
    16,144.88/24,211.17 = 6,282.86/x
  3. Step 3: Cross multiply
    16,144.88x = 24,211.17 × 6,282.86
  4. Step 4: Simplify right side
    16,144.88x = 152,115,270.49
  5. Step 5: Solve for x
    x = 152,115,270.49/16,144.88
  6. Step 6: Final answer
    x = 9,421.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.